Results 31 to 40 of about 1,407 (262)

Structure theory of central simple Zd-graded algebras

open access: yes, 2012
This paper investigates the structure theory of Zd- central simple graded algebras and gives the complete decomposition into building block algebras.
Kurtulmaz, Yosum, Koç, Cemal, Koç, C.
core   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

open access: yesAdvanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun   +3 more
wiley   +1 more source

The Vertex Algebra M(1)+ and Certain Affine Vertex Algebras of Level −1

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
We give a coset realization of the vertex operatoralgebra $M(1)^+$ with central charge $ell$. We realize $M(1) ^+$as a commutant of certain affine vertex algebras of level $-1$ inthe vertex algebra $L_{C_{ell} ^{(1)}}(-frac{1}{2}Lambda_0)otimes L_{C_ ...
Ozren Perše, Dražen Adamović
doaj   +1 more source

Cohomological invariants of odd degree Jordan algebras [PDF]

open access: yes, 2008
In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3.
MacDonald, Mark
core  

Generating graded central simple algebras

open access: yes, 1998
We solve the generator problem for Z-graded central simple algebras. Applications are given to automorphisms of trace rings of generic matrices and to periodic fat-point ...
Le Bruyn, Lieven
core   +1 more source

Nonassociative cyclic extensions of fields and central simple algebras [PDF]

open access: yes, 2018
We define nonassociative cyclic extensions of degree m of both fields andcentral simple algebras over fields. If a suitable field contains a primitive mth (resp., qth) root of unity, we show that suitable nonassociative generalized cyclic division ...
Brown, C.   +3 more
core   +1 more source

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

open access: yesAdvanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi   +2 more
wiley   +1 more source

A Perspective on Interactive Theorem Provers in Physics

open access: yesAdvanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Central simple algebras with involution: a geometric approach [PDF]

open access: yesmanuscripta mathematica, 2008
Let $k$ be an algebraically closed base field of characteristic zero. The category equivalence between central simple algebras and irreducible, generically free $PGL_n$-varieties is extended to the context of central simple algebras with involution.
openaire   +2 more sources

Type II1 factors satisfying the spatial isomorphism conjecture [PDF]

open access: yes, 2012
This paper addresses a conjecture in the work by Kadison and Kastler [Kadison RV, Kastler D (1972) Am J Math 94:38–54] that a von Neumann algebra M on a Hilbert space H should be unitarily equivalent to each sufficiently close von Neumann algebra N, and,
Smith, Roger R.   +17 more
core   +1 more source

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